In this dissertation, two related but distinct problems are studied. The first one is a fully nonparametricrnrank-based method for comparing samples with partially paired data. Partially-pairedrn(correlated) data naturally arise, for example, as a result of missing values, in incomplete blockrndesigns or meta analysis. In the nonparametric setup, treatment effects are characterized in termsrnof functionals of distribution functions and the only assumption needed is that the marginal distributionsrnto be non-degenerate. The setup accommodates binary, ordered categorical, discreternand continuous data in a seamless fashion. The use of nonparametric effects also addresses thernBehrens-Fisher problem from the nonparametric point of view and allows construction of confidencernintervals. Although, the nonparametric methods are mainly asymptotic, methods for smallrnsample approximations are also proposed. The second problem studied is also a fully nonparametricrnrank-based method but for partially repeated measures data. Here a vector of nonparametricrnrelative effect measures are defined and linear hypotheses on these effects are considered.rnA multitude of tests are available for hypothesis related to a vector of relative effects. We focusrnon asymptotic results and finite sample performance for Wald-type statistic (WTS), ANOVA-typernstatistic (ATS) and Multiple Comparison Test Procedure (MCTP). Notwithstanding the limitationrnthat the theory is thoroughly investigated for the three time point case, the results can formally bernextended to the more general set up but the involved expressions will be much more complicated.rnThe finite sample behavior of the tests are investigated via simulation studies. The results providernnumerical evidence of favorable performance of the nonparametric method. The new methodsrnvirnhave overwhelming power advantage when treatment effects are reflected in the shape of the distributionrnwhile they perform comparably better with parametric methods for location-type alternatives.rnData from a therapeutic-drug clinical trial and a randomized controlled epidemiologicalrnstudy are used to illustrate the application of the methods.